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Finding the Third Proportional to 135,729 and 211,348.50

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Solution

The third proportional to 135,729 and 211,348.50 is: 329,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 211,348.50 = 211,348.50 : x
  2. Step 2: Convert to fraction form
    135,729/211,348.50 = 211,348.50/x
  3. Step 3: Cross multiply
    135,729x = 211,348.50 × 211,348.50
  4. Step 4: Simplify right side
    135,729x = 44,668,188,452.25
  5. Step 5: Solve for x
    x = 44,668,188,452.25/135,729
  6. Step 6: Final answer
    x = 329,098.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.